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几何分布截尾样本场合步进应力加速寿命试验TFR模型下的统计分析
引用本文:徐晓岭,王蓉华,戎于飞.几何分布截尾样本场合步进应力加速寿命试验TFR模型下的统计分析[J].大学数学,2009,25(3).
作者姓名:徐晓岭  王蓉华  戎于飞
作者单位:1. 上海对外贸易学院,商务信息学院,上海,201600
2. 上海师范大学,数理信息学院,上海,200234
3. 上海交通大学,数学系,上海,200240
基金项目:上海市教委基金,上海市重点学科,国家自然科学基金,2007年度上海市教委重点课程,2009年度统计学专业建设,2009年度统计学学科建设资助 
摘    要:讨论了几何分布产品在步进应力加速试验TFR模型下寿命分布.给出了其寿命分布函数步进形式,在截尾样本场合利用极大似然估计方法和拟矩估计方法求出了未知参数的点估计,最后利用计算机模拟考察了说明本文方法的可行性.

关 键 词:步进应力加速寿命试验  损伤失效率(TFR)模型  极大似然估计  拟矩估计

The Statistical Analysis of Geometric Distribution with Censored Sample Based on Tampered Failure Rate Model under the Step-Stress Accelerated Life Testing
XU Xiao-ling,WANG Rong-hua,RONG Yu-fei.The Statistical Analysis of Geometric Distribution with Censored Sample Based on Tampered Failure Rate Model under the Step-Stress Accelerated Life Testing[J].College Mathematics,2009,25(3).
Authors:XU Xiao-ling  WANG Rong-hua  RONG Yu-fei
Institution:1.Business Information Management School;Shanghai Institute of Foreign Trade;Shanghai 201600;China;2.College of Mathematical Sciences;Shanghai Teachers University;Shanghai 200234;3.Mathematics Department;Shanghai Jiao Tong University;Shanghai 200240;China
Abstract:We focus on the distribution of the lifetime for products which submit to geometric distribution based on TFR model under the step-stress accelerated life testing.We derive the step functional notation for the distribution of the lifetime.Also in the paper,we get the point estimator of unknown parameters by using the maximum likelihood estimator method and simulated moment estimator method based on the censored sample.Finally,we illustrate the feasibility of this method by computer simulation.
Keywords:step-stress accelerated life testing  tampered failure rate model  the maximum likelihood estimator  simulated moment estimator  
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